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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 372810.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.e1 | 372810e1 | \([1, 1, 0, -2491908, -1424703888]\) | \(70896773214276841/4753327500000\) | \(114733770510847500000\) | \([]\) | \(17418240\) | \(2.5981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.e do not have complex multiplication.Modular form 372810.2.a.e
sage: E.q_eigenform(10)